I'm reading Calculus, Multivariable from William L. Briggs (amazon link: shorturl.at/ltGVY) ; it has the answers at the back of the book ; I'm quiet happy about it for someone who always sucked in maths. If anybody has books to share, i'm especialy interested in linear algebra and signal processing
I think Strang does a good job balancing intuition and rigor, without too much mindless grinding. Other books I’ve used either leap right into “Let F be a field....” or have you learn a bunch of matrix manipulations but don’t really explain why these are interesting or useful.